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Finding the Third Proportional to 12,090.25 and 25,274

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Solution

The third proportional to 12,090.25 and 25,274 is: 52,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.25 : 25,274 = 25,274 : x
  2. Step 2: Convert to fraction form
    12,090.25/25,274 = 25,274/x
  3. Step 3: Cross multiply
    12,090.25x = 25,274 × 25,274
  4. Step 4: Simplify right side
    12,090.25x = 638,775,076
  5. Step 5: Solve for x
    x = 638,775,076/12,090.25
  6. Step 6: Final answer
    x = 52,833.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.